In order to unify and extend the results on various fractional integration operators defined and studied during the last three decades, the authors investigate in this paper a pair of new fractional integral operators associated with multivariable
-function due to H. M. Srivastava
and R. Panda
[J. Reine Angew. Math. 283/284, 265-274 (1976; Zbl 0318.33006
)] and a general class of polynomials introduced by H. M. Srivastava
[Indian J. Math. 14, 1-6 (1972; Zbl 0249.33006
)]. Some properties of these operators related to their Mellin transforms are investigated, generalizing the scores of results on various fractional integration operators scattered in the literature.